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Finding the Fourth Proportional to 2,254.14, 3,381.66 and 794.32

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Solution

The fourth proportional to 2,254.14, 3,381.66 and 794.32 is: 1,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.14 : 3,381.66 = 794.32 : x
  2. Step 2: Convert to fraction form
    2,254.14/3,381.66 = 794.32/x
  3. Step 3: Cross multiply
    2,254.14x = 3,381.66 × 794.32
  4. Step 4: Simplify right side
    2,254.14x = 2,686,120.17
  5. Step 5: Solve for x
    x = 2,686,120.17/2,254.14
  6. Step 6: Final answer
    x = 1,191.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.